Question

How can I factor this? 2sin2(squared)β-1=0 ?

Answer 1

use difference of 2 squares

Answer 2

a^2 - b^2 = (a + b)(a - b)

Answer 3

in you case put a = sqrt2 sinβ and b = 1

Answer 4

cos 2x =1-2 sin ^2 x

Answer 5

Like this? \[2 \sin \beta - \sin \beta - 1 \]

Answer 6

if you just want to solve the equation then Mohd's method is more straightforward

Answer 7

no factorisung would give
(sqrt2 sin β + 1)(sqrt2 sinβ - 1) = 0

Answer 8

this will give sinβ = 1/sqrt2 or -1/sqrt2

Answer 9

so there are 3 solution in the range 0 to 360 degrees
1 in the first quadrant , 1 in the 3rd and 1 in the 4th.